传染病传播建模中的关键参数:传播阈值与基本再生数解析

Theoretical Analysis of Key Parameters in Epidemic Models: From Transmission Threshold to Basic Reproduction Number

  • 摘要: 传染病传播阈值( \beta _C )与基本再生数( R_0 )作为量化传播风险与指导防控决策的核心参数,前者界定传染病持续扩散的临界点,后者衡量单个感染者的二代感染数,其理论解析对传染病动力学研究具有关键意义。当前,理论分析方法与模型建立的对应关系仍不明确,制约了传播参数解析的效率与准确性。本文基于复杂网络传播动力学框架,通过融合经典传染病模型体系与多尺度理论分析方法,系统性地建立了从方法论原理、数学表征到案例解析的传播参数理论分析体系,并进一步构建了“模型-理论分析方法”匹配决策机制。研究成果不仅完善了复杂网络传播动力学的理论基础,为科研工作者与公共卫生部门提供了清晰的理论分析路径与模型选择依据,有效降低理论分析方法选择门槛,更为传染病预测模型的构建与验证提供切实可行的方法论支撑。

     

    Abstract: The transmission threshold ( \beta _C ) and the basic reproduction number ( R_0 ) serve as core parameters for quantifying transmission risk and guiding epidemic control strategies. The former defines the critical point for sustained transmission of infectious diseases, while the latter measures the average number of secondary infections caused by a single infected individual. Their theoretical analysis is of crucial importance to research in infectious disease dynamics. Currently, the correspondence between theoretical analysis methods and model construction remains unclear, constraining the efficiency and accuracy of transmission parameter interpretation. Based on a complex network transmission dynamics framework, this study integrates classical epidemic models with multiscale theoretical analysis methods to systematically establish a theoretical analysis system for transmission parameters—spanning methodological principles, mathematical representation, and case studies—and further constructs a "model-theoretical analysis method" matching decision mechanism. The research results not only enhance the theoretical foundation of complex network transmission dynamics and provide researchers and public health departments with a clear theoretical analysis pathway and model selection basis, effectively reducing the threshold for selecting theoretical analysis methods, but also offer practical methodological support for the construction and validation of infectious disease prediction models.

     

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